Odra river length

The length of the Odra in Moravia is 42% of its length in Poland. The total flow length from the source to the sea is 1165 km. What is the distance in Moravia, and what is the distance in km on the Polish side?

Final Answer:

M =  344.5775 km
P =  820.4225 km

Step-by-step explanation:

$$\begin{gathered} a=1165\text{km} \\ q=42\%=\frac{42}{100}=\frac{21}{50}=0.42 \\ M=q\cdot P \\ M+P=a \\ M=0.42\cdot P \\ M+P=1165 \\ M-0.42P=0 \\ Row2-Row1\to Row2 \\ 1.42P=1165 \\ P=\frac{1165}{1.42}=820.42253521 \\ M=0+0.42P=0+0.42\cdot 820.42253521=344.57746479 \\ M=\frac{24465}{71}\doteq 344.577465 \\ P=\frac{58250}{71}\doteq 820.422535 \end{gathered}$$

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